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Finding the Third Proportional to 164,325 and 353,558

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Solution

The third proportional to 164,325 and 353,558 is: 760,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,325 : 353,558 = 353,558 : x
  2. Step 2: Convert to fraction form
    164,325/353,558 = 353,558/x
  3. Step 3: Cross multiply
    164,325x = 353,558 × 353,558
  4. Step 4: Simplify right side
    164,325x = 125,003,259,364
  5. Step 5: Solve for x
    x = 125,003,259,364/164,325
  6. Step 6: Final answer
    x = 760,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.